Answer:
7.36 g/cm3
Step-by-step explanation:
Density = mass ÷ volume
Mass in grams = 9200g
Volume in cm3 = 1250cm3
9200 ÷ 7850 = 7.36
7.36 is already in 2 d.p.
is (-2, -6) a solution of y less than 7x + 8
Answer:
Not a solution.
Step-by-step explanation:
[tex]y < 7x+8\\-6 < 7(-2)+8\\-6 < -14 + 8\\-6 < -6; False[/tex]
This is not true because -6 is not less than -6.
Answer: No.
Step-by-step explanation: First of all you need to know that (x,y) x goes in front of y because of alphabetical order. Second, plug in your points (-2,-6) into your equation y < 7(-2) + 8. After you solve, you will get y < -14+8. Then, you get y < -6. On your point it said that -6 is your y point. Plug in -6 into y and you get -6 < -6. So no, y is not less than 7x +8. Hope this helps!
АBсDIf AC = 22x - 19, find x. Round your answer to the nearest tenth ifnecessary.AB = 4x + 31BC = 29
Answer:
The value of x is equal to 4.4.
[tex]x=4.4[/tex]Explanation:
Given;
[tex]\begin{gathered} AC=22x-19 \\ AB=4x+31 \\ BC=29 \end{gathered}[/tex]The length AC is the sum of length AB and BC;
[tex]AC=AB+BC[/tex]substiuting the given values;
[tex]\begin{gathered} AC=AB+BC \\ 22x-19=4x+31+29 \\ 22x-19=4x+60 \end{gathered}[/tex]let's add 19 to both sides, and then subtract 4x from both sides;
[tex]\begin{gathered} 22x-19=4x+60 \\ 22x-19+19=4x+60+19 \\ 22x=4x+79 \\ 22x-4x=4x-4x+79 \\ 18x=79 \end{gathered}[/tex]divide both sides by 18;
[tex]\begin{gathered} \frac{18x}{18}=\frac{79}{18} \\ x=4.388888 \\ x=4.4 \end{gathered}[/tex]The value of x is equal to 4.4.
[tex]x=4.4[/tex]Find the probability of the following card hands from a 52-card deck. In poker,
aces are either high or low. A bridge hand is made up of 13 cards.
In poker, four of a kind (4 cards of the same value)
O 2.40 x 104
O 2.00 × 10-5
O 1.85 x 10-5
O4.34 x 10-4
Answer: 2.40 * 10^(-4)
This value is approximate.
=====================================================
Explanation:
A four of a kind is where we have 4 cards of the same value, as mentioned in the instructions. For example, we could have 4 queens and some other card, such as a 10 of clubs.
There are 13 cards to pick from for any given suit. Once that card is chosen, the other 3 slots are fixed to whatever that first card is. The fifth slot will have 52-4 = 48 choices.
In short we have 13 choices for the first four cards and 48 choices for the fifth card.
Overall we have 13*48 = 624 different four of kind poker hands.
Let's now calculate how many possible poker hands there can be.
A poker hand consists of 5 cards. I don't know why your teacher mentioned a bridge hand of 13 cards since that's for a different game.
We'll use n = 52 and r = 5 in the nCr combination formula below.
[tex]n C r = \frac{n!}{r!(n-r)!}\\\\52 C 5 = \frac{52!}{5!*(52-5)!}\\\\52 C 5 = \frac{52!}{5!*47!}\\\\52 C 5 = \frac{52*51*50*49*48*47!}{5!*47!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5*4*3*2*1}\\\\ 52 C 5 = \frac{311875200}{120}\\\\ 52 C 5 = 2598960\\\\[/tex]
There are 2,598,960 possible five-card poker hands.
624 of those hands are four of a kind, so the probability we want is
624/(2,598,960) = 0.000240 = 2.40 * 10^(-4)
The approximate decimal value 0.000240 converts to 0.0240%
Find the slope of the line that passes through ( 2 , 7 ) and ( – 4 , 19 ) .
Answer:
-2
Step-by-step explanation:
slope form: y2-y1/x2-x1
points: x1, y1 (2,7) and x2,y2 (-4,19)
substitute the points into the form: 19-7/-4-2
simplify: 12/-6 = -2
PLEASE HELP ME PLS !!!!!!!!Connor has three number cards, as shown
below.
The minimum of the three cards is 6.
The range of the three cards is 7.
What is the mean of Connor's three cards?
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
10. Find the value of a²-b if a = 3 and b = -5.
The size of the graduating class of Kyle’s school has been growing at a constantrate. Kyle’s older brother’s class had 257 students when he graduated in 2015. Kyleis going to graduate in 2018, and his class has 329 students. Write a linear function that models the school’s graduating class size (y) in terms of the year (x).
The linear equation that models the school’s graduating class size (y) in terms of the year (x) after 2015 is given as y = 24x + 257
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
Let y represent the graduating class size in terms of the year (x) after 2015.
Kyle’s older brother’s class had 257 students when he graduated in 2015. That is (0, 257)
In 2018, and his class has 329 students, That is (3, 329)
The linear equation is calculated using (0, 257) and (3, 329):
y - 257 = [(329 - 257)/(3 - 0)](x - 0)
y - 257 = 24x
y = 24x + 257
The linear equation is given as y = 24x + 257
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if m(x)=x-7 and n(x)= 1/x+7 find the function value if possible of (mxn)(7)
The function value if possible of (mxn)(7) is mathematically given as
(m.n)(7) =0
This is further explained below.
What is the function value if possible of (mxn)(7)?Generally, the equation for the is mathematically given as
m(x) &=x-7
Therefore
[tex]n(x) = \frac{1}{x}+7[/tex]
(m * n)(x) = m(x) * n(x)
[tex]=(x-7) \cdot\left(\frac{1}{x}+7\right)[/tex]
(m * n)(7) = (7-7) * n(1/7 + 1)
(m.n)(7) =0
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Park a cover 4,926 square kilometers. It is 1,845 square kilometers larger than park b. Park c is 4,006 square kilometers larger than park a. What is the are of all three parks
Park a cover 4,926 square kilometers, It is 1,845 square kilometers larger than than park b. Park c is 4,006 square kilometers larger than park a, the area of all three parks is 16939 [tex]km^{2}[/tex]
What is an area?Area is amount of space occupied by a two-dimensional figure. In other words, it is quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of the area is square units which is generally represented as square inches, square feet, etc.
Word 'area' means a vacant surface. The area of shape is calculated with the help of its length and width. Length is the unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However, area of a shape is a two-dimensional quantity. Hence, it is measured in the square units like square inches or ([tex]in^{2}[/tex]), square feet or ([tex]ft^{2}[/tex]), square yard or ([tex]yd^{2}[/tex]), etc. Most of the objects or the shapes have edges and corners. The length and width of these edges are considered while calculating area of a specific shape.
Since,
Park a= 4926 [tex]km^{2}[/tex]
Park b= (4926-1845) = 3081 [tex]km^{2}[/tex]
Park c= (4006+4926) = 8932 [tex]km^{2}[/tex]
The area of all the three parks = (4926+3081+ 8932) [tex]km^{2}[/tex] = 16939 [tex]km^{2}[/tex]
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A triangle is congruent to triangle b what sequence would transform triangle a to triangle b
To transform congruent triangle a to triangle b: vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
What are congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Triangles a and b are congruent to each other. So when we flip them the sequence which would transform triangle a to triangle b is vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
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equations that are parallel to y=2x+11
y = 2x is the equation that is parallel to the given line in the question .
WHAT IS PARALLEL LINE ?If two non-vertical lines in the same plane have the same slope, they are said to be parallel. Never will two parallel lines cross. If two non-vertical lines in the same plane cross at a right angle, they are said to be perpendicular.
CALCULATIONy = 2x + 11
choose a point which the line will pass through
(0,0)
using y = mx + b
m = 2
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
[tex]y_{2} - y_{1} = m(x_{2} - x_{1} )[/tex]
y - 0 = 2x -0
y = 2x
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The measure of DF the center of the given circle
Solution:
Given the circle;
[tex]|OF|\cong|OE|=r[/tex]Thus;
[tex]\triangle FOE\text{ is isosceles triangle}[/tex]Then;
[tex]\begin{gathered} \angle OFE=38^o \\ \\ \angle Arc\text{ }DF=38^o+38^o..............(\text{ An exterior angle of a triangle is equal to the sum of the two interior opposite angles\rparen} \\ \\ \angle Arc\text{ }DF=76^o \end{gathered}[/tex]CORRECT OPTION: B
Circles on a coordinate plane
Given: The center and radius of a circle
[tex]\begin{gathered} center=(h,k) \\ radius=r \end{gathered}[/tex]To Determine: The equation of the circle
1) Circle A centered at the origin with radius 6
The equation of a circle is given by the formula
[tex]\begin{gathered} (x-k)^2+(y-h)^2=r^2 \\ \text{center(origin)}=(0,0),r=6 \\ Equation=(x-0)^2+(y-0)^2=6^2_{} \\ =x^2+y^2=36 \end{gathered}[/tex]ence, the equation of circle A centered at the origin with radius 6 is
x²+y²=36
2)Circle D with center (3, 3) and radius 2
The equation would be
[tex]\begin{gathered} (x-3)^2+(y-3)^2=2^2 \\ =(x-3)^2+(y-3)^2=4 \end{gathered}[/tex]ence, the equation of a circle D with center (,3, 3) and radius 2 is
(x-3)² + (y-3)² = 4
FIND THE DOMAIN AND RANGE(Algebra 1)
The domain and range of the function are {-4, -2, 0, 4} and {-3, -1, 0, 1} respectively.
Domain and range of an equationThe domain of the function is defined as the value of the independent function for which the function exist.
The range of the function is defined as the value of the dependent function for which the function exist.
From the given table, the domain are the values in the x-column which the range in the y-column are the values in the y-axis.
From the table, the domain are D = {-4, -2, 0, 4} while the range is R = {-3, -1, 0, 1}.
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The mean of 4,x,5,6,1 is 5 find x
Answer:
x=9
Step-by-step explanation:
is the mean of 4, x, 5, 6, and 1 is 5, then 4+x+5+6+1=5*5=25, so 16+x=25,x=9
The function T(y) gives the end-of-year tablet sales, in thousands, at an electronics store y years after 2010 for-1 ≤ y ≤ 8. The table below represents the values of the function T(y).
-10
1 2 3 4 5 6 7 8
T(y) 17 19 25 42 78 93 108 116 130 125
y
Which statement is true?
A No tablets were sold in 2009
B
C
D
The number of tablets sold increased each year
More people used a tablet sold by the store in 2017 than they did in 2018.
The maximum number of tablet sales the store made occurred 7 years after 2010
D
The correct statement regarding the function on the table is given by:
D. The maximum number of tablet sales the store made occurred 7 years after 2010
What is the meaning of the function?The meaning of the function is that it gives the number of tablets sold, in thousands, in y years after 2010, hence the variables are given by:
y: number of years after 2010.T(y): number of tablets sold on the respective year.For example, T(-1) = 0 = 17 means that 17,000 were sold in the year of 2009.
There was a single decrease, from 2017 to 2018, that is, year 7 to year 8, hence statement B is false.
For item C, we have no information whether this number is true, hence the statement is false, as the function gives the number of tablets sold at the store, not the number of people using the tablets.
The true statement is given by option D, since f(7) = 130 is the maximum value of the function.
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Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.
What is the probability that a randomly selected male is more than 70 inches tall?
There is a 0.5 percent probability that a randomly chosen male will be taller than 70 inches.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So,
Mean height of the adults: μ = 70 inchesThe standard deviation: σ = 4 inchesThen, the formula will be:
Z = x-μ/σInsert the values in the formula as follows:
Z = x-μ/σZ = 70-70/4Z = 0Then,
0.5 is the p-value at z=0.P(x>70)=1-P(x<70)=1-0.5 = 0.5Therefore, there is a 0.5 percent probability that a randomly chosen male will be taller than 70 inches.
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Twice a number minus another numberis 8. Their sum is -2. Find thenumbers.
Set x and y to be the two numbers we need to find; then, according to the question,
[tex]\begin{gathered} 2x-y=8 \\ and \\ x+y=-2 \end{gathered}[/tex]Solve the system of equations as shown below
[tex]\begin{gathered} \Rightarrow y=2x-8 \\ \Rightarrow x+(2x-8)=-2 \\ \Rightarrow3x=6 \\ \Rightarrow x=2 \end{gathered}[/tex]Finding y,
[tex]\begin{gathered} x=2 \\ \Rightarrow y=2*2-8=-4 \\ \Rightarrow y=-4 \end{gathered}[/tex]Thus, the answer is 2 and -4, option E.Convert 5yd^2 to square centimeters
Since 1 yard = 0.914 meters
Since 1 m = 100 cm
Then 1 yard = 91.4 cm
Square them to find the square yard
[tex]\begin{gathered} (1)^2=1 \\ (91.4)^2=8353.96 \end{gathered}[/tex]1 square yard = 8353.96 square cm
Then to find 5 square yards in square cm, multiply 5 by 8353.96
[tex]5\times8353.96=41769.8[/tex]5 square yards = 41769.8 square cm
connect the term to the right word
Answer: Point: a zero dimentional object
Ray: a half line
One dimentional figure: a line
Line segment: a finite section of line
Plane: a 2 dimentional figure
Step-by-step explanation:
A dairy farm has a real estate tax rate of $57.26 per thousand dollars of assessed value. If the farm is assessed at $665,500.00 what is the real estate tax?
Answer:
the real estate 5726per thousand dollars
Step-by-step explanation:
The hypotenuse of a triangle is 13 long. The leg is 7 inches longer than the shorter leg. Find the side lengths of the triangle.
Logan is filling up his car with gas at the local station if gas cost 3.29$ per gallon and he fills up his tank with 12.6 gallons then how much will Logan be charged round your answer to the nearest penny
Answer:
$41.50
Step-by-step explanation:
$3.29 per gallon of gas
12.6 gallons of gas
12.6 * 3.29 = 41.45400 ≈ 41.50
he will be charged $41.50
Solve for .
5x - 4 ≥ 12 OR 12x + 5 < -4
Answer:[tex]x\geq 3.2[/tex] and [tex]x < -0.75[/tex]
Step-by-step explanation
[tex]5x-4\geq 12[/tex]
First you would add 4 to each side.
[tex]5x\geq 16[/tex]
Then divide each side by 5.
[tex]x\geq 3.2[/tex]
Next one,
[tex]12x+5 < -4[/tex]
First you would subtract 5 from both sides.
[tex]12x < -9[/tex]
Then divide both sides by 12.
[tex]x < -0.75[/tex]
The rear windshield wiper blade on a car has a length of
10
inches. The blade is mounted on a
18
inch arm,
8
inches from the pivot point. If the wiper turns through an angle of
145
degrees, how much area is swept clean?
The area that is swept clean by the wiper is 329.13 inches².
What is the Area of the Sector?The area of a circle encompassed between its two radii and the arc next to them is known as the sector of a circle. A circle's sector area is the total area contained inside the sector's perimeter.The following formulas can be used to determine a sector's area: Area of a Sector of a Circle = (θ/360°)πr², where r is the circle's diameter and θ is the sector angle, in degrees, that the arc at the center subtends.Given:
Radius of arm(r₁) = 18 inch
Length of wiper blade = 10 inches
Radius of the point at which the blade is mounted(r₂) = 8 inches
Angle of the sector,θ = 145°
Required Area is calculated as,
Area = (θ/360°)πr₁² - (θ/360°)πr₂²
= (θ/360°) (πr₁² - πr₂²)
= (145°/ 360°) π(18² - 8²)
= (145°/ 360°) π(324 - 64)
= 329.13 inches²
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Which has a greater value?
√8 + 3 or 8 + √3
Answer:
8 + √3 is greater.
Step-by-step explanation:
8 + √3 equals 9.73
whereas
√8 + 3 equals 5.83
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A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a pa
passes through (2, -3)?
Oy = 3x + 11
Oy=3x-9
Oy=-3x+1
Oy=-x-3
The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
Given,
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2)
To find the equation for a passes through (2, -3).
How to determine an equation of the line parallel to another line
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now, According to the question:
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
-3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
Hence, The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
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Jennifer bought a bracelet at original cost $25 to sell in her handicraft store. She marked the price up 45%.
a) Find the amount of the mark-up price.
S
b) Find the list price.
S
(Round to two decimal places if necessary.)
(Round to two decimal places if necessary.)
Answer:
Mark up $11.25
Selling price $36.25
Step-by-step explanation:
25(.45) = 11.25 This is the mark up, The selling price is then 25 + 11.25, which is $36.25
The x- and y- axes of the coordinate plane form four right angles. The interior of each of the right angles is a quadrant of the coordinate plane. What is the equation for the line that contains the angle bisector of Quadrants 1 and 3?
ANSWER:
y = x
XPLANATION:
To find the equation for the line that contains the angle bisector of Quadrants 1 and 3 we have:
The equation is:
y = x